#Density : 9284799124120144299455279097/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 11, 12, 14}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
113466275652540416218527/200000000000000000000000000 -361509830870568520792599/200000000000000000000000000 -98919963443041033836303/200000000000000000000000000 -1472678729269140483779907/1000000000000000000000000000 -96314157519310414826883/12500000000000000000000000 3207522233194202382408561/250000000000000000000000000
-361509830870568520792599/200000000000000000000000000 5758951594404474934923637/1000000000000000000000000000 1575822377546060588046093/1000000000000000000000000000 4692035886676310765625981/1000000000000000000000000000 12274489356756283148128741/500000000000000000000000000 -319354477070138747936637/7812500000000000000000000
-98919963443041033836303/200000000000000000000000000 1575822377546060588046093/1000000000000000000000000000 53899050132398816579619/125000000000000000000000000 641941075043022794819859/500000000000000000000000000 1679334744796000306493757/250000000000000000000000000 -11185278805551701286856737/1000000000000000000000000000
-1472678729269140483779907/1000000000000000000000000000 4692035886676310765625981/1000000000000000000000000000 641941075043022794819859/500000000000000000000000000 97883321226624002452173/3906250000000000000000000 295568878936088394017733/62500000000000000000000000 -33304343390222747771372091/1000000000000000000000000000
-96314157519310414826883/12500000000000000000000000 12274489356756283148128741/500000000000000000000000000 1679334744796000306493757/250000000000000000000000000 295568878936088394017733/62500000000000000000000000 67499896033700247974323691/500000000000000000000000000 -3485001547144698555081693/20000000000000000000000000
3207522233194202382408561/250000000000000000000000000 -319354477070138747936637/7812500000000000000000000 -11185278805551701286856737/1000000000000000000000000000 -33304343390222747771372091/1000000000000000000000000000 -3485001547144698555081693/20000000000000000000000000 58029993873083103335969079/200000000000000000000000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
25155773218727463017372799/1000000000000000000000000000 8499648156257428782556263/200000000000000000000000000 -54171291608453708119846767/500000000000000000000000000 23570561079895954160115717/500000000000000000000000000 -86502176221532065970645439/1000000000000000000000000000 9887686702141859607184419/200000000000000000000000000
8499648156257428782556263/200000000000000000000000000 14359331782810702379207931/200000000000000000000000000 -3660685877857256934093891/20000000000000000000000000 1592807140394671488304617/20000000000000000000000000 -29227408604806669522724463/200000000000000000000000000 668171534997086428708719/8000000000000000000000000
-54171291608453708119846767/500000000000000000000000000 -3660685877857256934093891/20000000000000000000000000 116654288819215791690436891/250000000000000000000000000 -50757642253005819208562141/250000000000000000000000000 186276707621691140991827987/500000000000000000000000000 -21292478460120399297051187/100000000000000000000000000
23570561079895954160115717/500000000000000000000000000 1592807140394671488304617/20000000000000000000000000 -50757642253005819208562141/250000000000000000000000000 22085242412962499133474391/250000000000000000000000000 -81051169067451371750429437/500000000000000000000000000 9264605833134246047761937/100000000000000000000000000
-86502176221532065970645439/1000000000000000000000000000 -29227408604806669522724463/200000000000000000000000000 186276707621691140991827987/500000000000000000000000000 -81051169067451371750429437/500000000000000000000000000 297451659545510317236057979/1000000000000000000000000000 -34000402602512883071459459/200000000000000000000000000
9887686702141859607184419/200000000000000000000000000 668171534997086428708719/8000000000000000000000000 -21292478460120399297051187/100000000000000000000000000 9264605833134246047761937/100000000000000000000000000 -34000402602512883071459459/200000000000000000000000000 5375068520159476332011959/40000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 839217/40000000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {0, 1}
F2 : {0, 1, 2}
F3 : {0, 1, 3}
F4 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 2107689/500000000 0/1
0/1 0/1 0/1


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
1614569/125000000


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {3}
F2  : {3, 4}
F3  : {3, 5}
F4  : {3, 4, 5}
F5  : {3, 6}
F6  : {3, 4, 6}
F7  : {3, 5, 6}
F8  : {3, 4, 5, 6}
F9  : {3, 7}
F10 : {3, 4, 7}
F11 : {3, 5, 7}
F12 : {3, 4, 5, 7}
F13 : {3, 6, 7}
F14 : {3, 4, 6, 7}
F15 : {3, 5, 6, 7}
F16 : {3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
488175119882767469487818129/125000000000000000000000000 18170633409279011444416461/100000000000000000000000000 17940870999651323256722919/31250000000000000000000000 -416814356838516724078614539/200000000000000000000000000 -161907151725820192200660591/125000000000000000000000000 4186886827749652220571142507/1000000000000000000000000000 -609749081611562154973279671/200000000000000000000000000 -4141019467830816074025416697/500000000000000000000000000 104639619098416276709224399/200000000000000000000000000 299938272693012127209161301/1000000000000000000000000000 -189689474344531848537275381/1000000000000000000000000000 808060218024150227774128641/200000000000000000000000000
18170633409279011444416461/100000000000000000000000000 34597863722603592986762433/125000000000000000000000000 90790589137244450088063029/125000000000000000000000000 -1896940838732979869326930331/1000000000000000000000000000 -22068687250423268852490607/500000000000000000000000000 -219321331878400459655967193/1000000000000000000000000000 -789326223173227264331512679/1000000000000000000000000000 617396889786532364564080303/500000000000000000000000000 20136150814380448841459457/40000000000000000000000000 -24403854341039869657635621/1000000000000000000000000000 -76800555477677941885091177/1000000000000000000000000000 -31213735863358762965980289/1000000000000000000000000000
17940870999651323256722919/31250000000000000000000000 90790589137244450088063029/125000000000000000000000000 954248600966689477638106307/500000000000000000000000000 -999888204440292642247013179/200000000000000000000000000 -18544947627553929709822147/125000000000000000000000000 -18570356912276515123354219/40000000000000000000000000 -2136344128059928266830313489/1000000000000000000000000000 1503339674202544475873816097/500000000000000000000000000 1325967447905414965268828809/1000000000000000000000000000 -55921571811175576127676847/1000000000000000000000000000 -41023184224221373507585321/200000000000000000000000000 22427572155225184526354203/1000000000000000000000000000
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808060218024150227774128641/200000000000000000000000000 -31213735863358762965980289/1000000000000000000000000000 22427572155225184526354203/1000000000000000000000000000 -85708422725195091163549993/125000000000000000000000000 -21143312011702517898554339/15625000000000000000000000 4515471121085965107364852283/1000000000000000000000000000 -1312566698772201386969276683/500000000000000000000000000 -9891595363626652272607916851/1000000000000000000000000000 7081926850057352083195239/50000000000000000000000000 105181719121906182980080413/500000000000000000000000000 -233437559269400386847635849/500000000000000000000000000 1359262264544706727315074651/250000000000000000000000000


--- Term 9 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {3, 5}
F2 : {3, 4, 5}
F3 : {3, 6}
F4 : {3, 4, 6}
F5 : {3, 5, 7}
F6 : {3, 4, 5, 7}
F7 : {3, 6, 7}
F8 : {3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
86569434562732566323175489/62500000000000000000000000 -168026386989125975816373561/125000000000000000000000000 832187859461841124277031/12500000000000000000000000 -18679866238315881201742243/125000000000000000000000000
-168026386989125975816373561/125000000000000000000000000 326129734671659057709267693/250000000000000000000000000 -8076148380605567704489317/125000000000000000000000000 36256566331593983916614689/250000000000000000000000000
832187859461841124277031/12500000000000000000000000 -8076148380605567704489317/125000000000000000000000000 1641439045569165594967957/3906250000000000000000000 -3615062011350752658443331/62500000000000000000000000
-18679866238315881201742243/125000000000000000000000000 36256566331593983916614689/250000000000000000000000000 -3615062011350752658443331/62500000000000000000000000 816435024983709944013731183/250000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

Flags :
F1  : {2, 3}
F2  : {2, 3, 4}
F3  : {2, 3, 5}
F4  : {2, 3, 4, 5}
F5  : {2, 3, 6}
F6  : {2, 3, 4, 6}
F7  : {2, 3, 5, 6}
F8  : {2, 3, 4, 5, 6}
F9  : {2, 3, 7}
F10 : {2, 3, 4, 7}
F11 : {2, 3, 5, 7}
F12 : {2, 3, 4, 5, 7}
F13 : {2, 3, 6, 7}
F14 : {2, 3, 4, 6, 7}
F15 : {2, 3, 5, 6, 7}
F16 : {2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
7595454094013899427277614693/1000000000000000000000000000 -600163532507401220544541491/100000000000000000000000000 -11221230289359448833979047/250000000000000000000000000 2946205703963543304017901701/1000000000000000000000000000 -57653041770675160564001753/25000000000000000000000000 164051919811305003413260587/200000000000000000000000000 -537014987294638450797918591/1000000000000000000000000000 1853720691972917671999400921/1000000000000000000000000000 14922444944798051702043671/15625000000000000000000000 -63285541254677511209124499/40000000000000000000000000
-600163532507401220544541491/100000000000000000000000000 2444722379420289898434162893/500000000000000000000000000 4448145837883479330943149/20000000000000000000000000 -678559379770910757076897679/250000000000000000000000000 516951920166335566266421/312500000000000000000000 -18457839900481797904268719/50000000000000000000000000 31451276146103786339215039/50000000000000000000000000 -95745060506819419180706529/50000000000000000000000000 -200398519636078665550331719/500000000000000000000000000 325473502472441142721564913/250000000000000000000000000
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-63285541254677511209124499/40000000000000000000000000 325473502472441142721564913/250000000000000000000000000 15015422106798146579256453/200000000000000000000000000 -422270906047253983118631473/500000000000000000000000000 310622685728341212063198351/1000000000000000000000000000 -409440190613344248175401023/1000000000000000000000000000 10751128052695483778456507/25000000000000000000000000 -108881268537240169552984489/200000000000000000000000000 -365271440974721592299841349/1000000000000000000000000000 104085008718366264217817081/62500000000000000000000000


--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

Flags :
F1  : {2, 3, 4}
F2  : {2, 3, 5}
F3  : {2, 3, 6}
F4  : {2, 3, 4, 6}
F5  : {2, 3, 5, 6}
F6  : {2, 3, 4, 5, 6}
F7  : {2, 3, 7}
F8  : {2, 3, 4, 7}
F9  : {2, 3, 5, 7}
F10 : {2, 3, 4, 5, 7}
F11 : {2, 3, 4, 6, 7}
F12 : {2, 3, 5, 6, 7}

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 851666475595028521006756343/1000000000000000000000000000 140721021590456868431681983/500000000000000000000000000 72227986047042874387071669/250000000000000000000000000 3553341662919020743326349/125000000000000000000000000 -147991265314104121950374399/1000000000000000000000000000
0/1 140721021590456868431681983/500000000000000000000000000 477802854125370298757016267/200000000000000000000000000 -75401169498863990656633331/500000000000000000000000000 -37393350365563418568913649/500000000000000000000000000 9796669145232363159281687/100000000000000000000000000
0/1 72227986047042874387071669/250000000000000000000000000 -75401169498863990656633331/500000000000000000000000000 2085130426125897081521533169/1000000000000000000000000000 163819530043637884692580427/200000000000000000000000000 -594416618364937232195534987/1000000000000000000000000000
0/1 3553341662919020743326349/125000000000000000000000000 -37393350365563418568913649/500000000000000000000000000 163819530043637884692580427/200000000000000000000000000 1535974842126205772430253071/1000000000000000000000000000 -444812438996326923004148043/1000000000000000000000000000
0/1 -147991265314104121950374399/1000000000000000000000000000 9796669145232363159281687/100000000000000000000000000 -594416618364937232195534987/1000000000000000000000000000 -444812438996326923004148043/1000000000000000000000000000 818074205574113644564952057/500000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

Flags :
F1  : {1, 2}
F2  : {1, 2, 4}
F3  : {1, 2, 5}
F4  : {1, 2, 4, 5}
F5  : {1, 2, 6}
F6  : {1, 2, 4, 6}
F7  : {1, 2, 5, 6}
F8  : {1, 2, 4, 5, 6}
F9  : {1, 2, 7}
F10 : {1, 2, 4, 7}
F11 : {1, 2, 5, 7}
F12 : {1, 2, 4, 5, 7}
F13 : {1, 2, 6, 7}
F14 : {1, 2, 4, 6, 7}
F15 : {1, 2, 5, 6, 7}
F16 : {1, 2, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
97074154640121934685612703/250000000000000000000000000 -15090722558981221898720227/20000000000000000000000000 786700447043468941968144249/500000000000000000000000000 21525601434068603577144973/500000000000000000000000000 28885478796968032266371713/31250000000000000000000000 390719854024839572901383203/500000000000000000000000000 -20696995480010962122596507/62500000000000000000000000 -254977007206833574824264659/500000000000000000000000000 -57072028438249477643989923/250000000000000000000000000
-15090722558981221898720227/20000000000000000000000000 58648439483299194222542489/40000000000000000000000000 -611485015108887515777249251/200000000000000000000000000 -16731378210750261769004963/200000000000000000000000000 -449040991522799537756824161/250000000000000000000000000 -1518489894933507421387271689/1000000000000000000000000000 10054575602255712343264213/15625000000000000000000000 990940196426594383350476897/1000000000000000000000000000 221804184115213749318450081/500000000000000000000000000
786700447043468941968144249/500000000000000000000000000 -611485015108887515777249251/200000000000000000000000000 6375513602696839152599362257/1000000000000000000000000000 174446023525733625361020689/1000000000000000000000000000 936365365915726323213812057/250000000000000000000000000 3166439975417589392699587703/1000000000000000000000000000 -4193272570063564487665921/3125000000000000000000000 -2066363866725614084847968479/1000000000000000000000000000 -92503695653672170390530459/100000000000000000000000000
21525601434068603577144973/500000000000000000000000000 -16731378210750261769004963/200000000000000000000000000 174446023525733625361020689/1000000000000000000000000000 43886669237910816065323113/1000000000000000000000000000 25620714637273835317857887/250000000000000000000000000 75625036400251125654927003/1000000000000000000000000000 -4589432452385959987326837/125000000000000000000000000 -67244762819528576053883979/1000000000000000000000000000 -17223185077677754195760223/500000000000000000000000000
28885478796968032266371713/31250000000000000000000000 -449040991522799537756824161/250000000000000000000000000 936365365915726323213812057/250000000000000000000000000 25620714637273835317857887/250000000000000000000000000 137523053533383490312816579/62500000000000000000000000 465051901869828395550945239/250000000000000000000000000 -9853788602169569588765113/12500000000000000000000000 -303484813729138082133688087/250000000000000000000000000 -67929630672924934517001129/125000000000000000000000000
390719854024839572901383203/500000000000000000000000000 -1518489894933507421387271689/1000000000000000000000000000 3166439975417589392699587703/1000000000000000000000000000 75625036400251125654927003/1000000000000000000000000000 465051901869828395550945239/250000000000000000000000000 1785450545930782917803687823/1000000000000000000000000000 -166609270663563983355964659/250000000000000000000000000 -1037181021099340838310684579/1000000000000000000000000000 -257570579862814594714023729/500000000000000000000000000
-20696995480010962122596507/62500000000000000000000000 10054575602255712343264213/15625000000000000000000000 -4193272570063564487665921/3125000000000000000000000 -4589432452385959987326837/125000000000000000000000000 -9853788602169569588765113/12500000000000000000000000 -166609270663563983355964659/250000000000000000000000000 35302135649815523513346099/125000000000000000000000000 108726323383902474868531737/250000000000000000000000000 3042054600721259223706797/15625000000000000000000000
-254977007206833574824264659/500000000000000000000000000 990940196426594383350476897/1000000000000000000000000000 -2066363866725614084847968479/1000000000000000000000000000 -67244762819528576053883979/1000000000000000000000000000 -303484813729138082133688087/250000000000000000000000000 -1037181021099340838310684579/1000000000000000000000000000 108726323383902474868531737/250000000000000000000000000 779303146319850440019792687/1000000000000000000000000000 125394536999614607495028297/500000000000000000000000000
-57072028438249477643989923/250000000000000000000000000 221804184115213749318450081/500000000000000000000000000 -92503695653672170390530459/100000000000000000000000000 -17223185077677754195760223/500000000000000000000000000 -67929630672924934517001129/125000000000000000000000000 -257570579862814594714023729/500000000000000000000000000 3042054600721259223706797/15625000000000000000000000 125394536999614607495028297/500000000000000000000000000 170740241498901690923256921/250000000000000000000000000


--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

Flags :
F1  : {1, 2, 4}
F2  : {1, 2, 5}
F3  : {1, 2, 4, 5}
F4  : {1, 2, 6}
F5  : {1, 2, 4, 6}
F6  : {1, 2, 4, 5, 6}
F7  : {1, 2, 7}
F8  : {1, 2, 5, 7}
F9  : {1, 2, 4, 5, 7}
F10 : {1, 2, 6, 7}
F11 : {1, 2, 4, 6, 7}
F12 : {1, 2, 5, 6, 7}

Basis :
B1 : (F7)-(F1)
B2 : (F4)-(F2)
B3 : (F5)-(F3)
B4 : (F8)-(F3)
B5 : (F10)-(F3)
B6 : (F12)-(F6)
B7 : (F11)-(F9)

Matrix :
231318126038497865704644337/500000000000000000000000000 0/1 27989254002173412371455679/1000000000000000000000000000 -27989254599609677190465843/1000000000000000000000000000 -5597850507267491527241031/200000000000000000000000000 -482515677102786116730164761/500000000000000000000000000 -255528193367440727/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
27989254002173412371455679/1000000000000000000000000000 0/1 733903485074465158300423187/500000000000000000000000000 -10191605380940422169812993/500000000000000000000000000 -3947729848344212881218297/40000000000000000000000000 -32732191508097328823954789/500000000000000000000000000 54842279817251131325762531/250000000000000000000000000
-27989254599609677190465843/1000000000000000000000000000 0/1 -10191605380940422169812993/500000000000000000000000000 733903485822832572000833467/500000000000000000000000000 -1348730511209138300789174413/1000000000000000000000000000 1636609648308663592375801/25000000000000000000000000 -54842279248563699577272439/250000000000000000000000000
-5597850507267491527241031/200000000000000000000000000 0/1 -3947729848344212881218297/40000000000000000000000000 -1348730511209138300789174413/1000000000000000000000000000 293561393659009899862208031/200000000000000000000000000 32732190639086476929566283/500000000000000000000000000 27421139707173167776594377/125000000000000000000000000
-482515677102786116730164761/500000000000000000000000000 0/1 -32732191508097328823954789/500000000000000000000000000 1636609648308663592375801/25000000000000000000000000 32732190639086476929566283/500000000000000000000000000 92941303598828877440317569/40000000000000000000000000 22603355814445571/20000000000000000000000000
-255528193367440727/500000000000000000000000000 0/1 54842279817251131325762531/250000000000000000000000000 -54842279248563699577272439/250000000000000000000000000 27421139707173167776594377/125000000000000000000000000 22603355814445571/20000000000000000000000000 32402540232662416017052987/50000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {1, 2, 3}
F2  : {1, 2, 3, 4}
F3  : {1, 2, 3, 5}
F4  : {1, 2, 3, 4, 5}
F5  : {1, 2, 3, 6}
F6  : {1, 2, 3, 4, 6}
F7  : {1, 2, 3, 5, 6}
F8  : {1, 2, 3, 4, 5, 6}
F9  : {1, 2, 3, 7}
F10 : {1, 2, 3, 4, 7}
F11 : {1, 2, 3, 5, 7}
F12 : {1, 2, 3, 4, 5, 7}
F13 : {1, 2, 3, 6, 7}
F14 : {1, 2, 3, 4, 6, 7}
F15 : {1, 2, 3, 5, 6, 7}
F16 : {1, 2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
147840859328276395261677307/500000000000000000000000000 44095298317334725649256891/500000000000000000000000000 1479215886100856694065497/100000000000000000000000000 9620078430730312365716019/500000000000000000000000000 -171575474048847209349334653/1000000000000000000000000000 -67192025105992728258180721/1000000000000000000000000000 50701937781738069823265441/500000000000000000000000000 79216349465996862604714303/1000000000000000000000000000 -15307106289803784845699751/500000000000000000000000000 -3023312305967998180369039/125000000000000000000000000 -50321825574006635183687757/250000000000000000000000000 -43136413983072511552644759/250000000000000000000000000
44095298317334725649256891/500000000000000000000000000 8145469220739765371446621/20000000000000000000000000 3918705549395870160262827/62500000000000000000000000 34151502368026427873356351/1000000000000000000000000000 -79425262516066872506389139/250000000000000000000000000 -3203645013497993136602947/125000000000000000000000000 105372668582426371329358287/500000000000000000000000000 14232042669924231047767669/100000000000000000000000000 -13112787252446965477475423/250000000000000000000000000 243213194994262596952851/1000000000000000000000000000 -11021500225111314946935343/31250000000000000000000000 -105613295555548591603776437/250000000000000000000000000
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--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
279056029142066876917002043/100000000000000000000000000 693795562945905261541231/5000000000000000000000000 31508079056239521735496789/40000000000000000000000000 -4140771480527387042207223/200000000000000000000000000
693795562945905261541231/5000000000000000000000000 82765159998015346412339137/250000000000000000000000000 178298701611205418303915303/250000000000000000000000000 66288250520021329160153823/125000000000000000000000000
31508079056239521735496789/40000000000000000000000000 178298701611205418303915303/250000000000000000000000000 123653778225151413653705129/40000000000000000000000000 687105505539232654623714441/500000000000000000000000000
-4140771480527387042207223/200000000000000000000000000 66288250520021329160153823/125000000000000000000000000 687105505539232654623714441/500000000000000000000000000 338505567818304110762934177/200000000000000000000000000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 20960546017180487009513523/500000000000000000000000000 -951842358503556321549771/500000000000000000000000000 -1837444012914122242279393/200000000000000000000000000 -5957911440675429730001399/500000000000000000000000000 0/1
0/1 -951842358503556321549771/500000000000000000000000000 302383556595487864505193/7812500000000000000000000 -1590407956289316489271171/1000000000000000000000000000 -6757832929497467932860751/500000000000000000000000000 0/1
0/1 -1837444012914122242279393/200000000000000000000000000 -1590407956289316489271171/1000000000000000000000000000 255460126527751437852960309/1000000000000000000000000000 -11324459147947393395571719/250000000000000000000000000 0/1
0/1 -5957911440675429730001399/500000000000000000000000000 -6757832929497467932860751/500000000000000000000000000 -11324459147947393395571719/250000000000000000000000000 16598719361453761621818823/250000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {0, 1, 2, 3, 4}
F2  : {0, 1, 2, 3, 5}
F3  : {0, 1, 2, 3, 4, 5}
F4  : {0, 1, 2, 3, 6}
F5  : {0, 1, 2, 3, 4, 6}
F6  : {0, 1, 2, 3, 5, 6}
F7  : {0, 1, 2, 3, 4, 5, 6}
F8  : {0, 1, 2, 3, 7}
F9  : {0, 1, 2, 3, 4, 7}
F10 : {0, 1, 2, 3, 5, 7}
F11 : {0, 1, 2, 3, 4, 5, 7}
F12 : {0, 1, 2, 3, 6, 7}
F13 : {0, 1, 2, 3, 4, 6, 7}
F14 : {0, 1, 2, 3, 5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {}
F2  : {4}
F3  : {5}
F4  : {4, 5}
F5  : {6}
F6  : {4, 6}
F7  : {5, 6}
F8  : {4, 5, 6}
F9  : {7}
F10 : {4, 7}
F11 : {5, 7}
F12 : {4, 5, 7}
F13 : {6, 7}
F14 : {4, 6, 7}
F15 : {5, 6, 7}
F16 : {4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {4}
F2  : {5}
F3  : {4, 5}
F4  : {6}
F5  : {4, 6}
F6  : {5, 6}
F7  : {4, 5, 6}
F8  : {7}
F9  : {4, 7}
F10 : {5, 7}
F11 : {4, 5, 7}
F12 : {6, 7}
F13 : {4, 6, 7}
F14 : {5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
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